164edo

The 164 equal division divides the octave into 164 equal parts of 7.317 cents each. In the 5-limit it tempers out the würschmidt comma, 393216/390625, and supplies the optimal patent val for würschmidt temperament. In higher limits, also supplies the optimal patent val for the 7-limit, 1/41 octave period 41&123 temperament, and the 13-limit momentous temperament, the rank-three temperament tempering out 196/195, 352/351, 385/384 and 441/440.